Abstract
It is conjectured, with the aid of numerical studies, that the site random tight-binding model with the long-range hopping term (decaying more slowly than any exponential function) exhibits nonexponentially localized eigenstates. For example, if the hopping term decays as exp[−√x], then the eigenfunctions decay as exp[−√x].
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1061-1065 |
| Number of pages | 5 |
| Journal | EPL |
| Volume | 4 |
| Issue number | 9 |
| DOIs | |
| State | Published - Nov 1 1987 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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Cite this
Yeung, C., & Oono, Y. (1987). A conjecture on nonlocal random tight-binding models. EPL, 4(9), 1061-1065. https://doi.org/10.1209/0295-5075/4/9/018